Finding the Third Proportional to 85.06 and 184.53

Step by Step Solution

1. Step 1: Write the proportion equation
   85.06 : 184.53 = 184.53 : x
2. Step 2: Convert to fraction form
   85.06/184.53 = 184.53/x
3. Step 3: Cross multiply
   85.06x = 184.53 × 184.53
4. Step 4: Simplify right side
   85.06x = 34,051.78
5. Step 5: Solve for x
   x = 34,051.78/85.06
6. Step 6: Final answer
   x = 400.31